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Finding the Fourth Proportional to 13,994.86, 20,986.34 and 5,223.64

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Solution

The fourth proportional to 13,994.86, 20,986.34 and 5,223.64 is: 7,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.86 : 20,986.34 = 5,223.64 : x
  2. Step 2: Convert to fraction form
    13,994.86/20,986.34 = 5,223.64/x
  3. Step 3: Cross multiply
    13,994.86x = 20,986.34 × 5,223.64
  4. Step 4: Simplify right side
    13,994.86x = 109,625,085.08
  5. Step 5: Solve for x
    x = 109,625,085.08/13,994.86
  6. Step 6: Final answer
    x = 7,833.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.